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Finding the Fourth Proportional to 122,716.75, 184,104.74 and 42,743.02

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Solution

The fourth proportional to 122,716.75, 184,104.74 and 42,743.02 is: 64,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,716.75 : 184,104.74 = 42,743.02 : x
  2. Step 2: Convert to fraction form
    122,716.75/184,104.74 = 42,743.02/x
  3. Step 3: Cross multiply
    122,716.75x = 184,104.74 × 42,743.02
  4. Step 4: Simplify right side
    122,716.75x = 7,869,192,230.51
  5. Step 5: Solve for x
    x = 7,869,192,230.51/122,716.75
  6. Step 6: Final answer
    x = 64,124.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.